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Simplifying 2(1 + -2z) + -3(2z + 9) = z + -29 (1 * 2 + -2z * 2) + -3(2z + 9) = z + -29 (2 + -4z) + -3(2z + 9) = z + -29 Reorder the terms: 2 + -4z + -3(9 + 2z) = z + -29 2 + -4z + (9 * -3 + 2z * -3) = z + -29 2 + -4z + (-27 + -6z) = z + -29 Reorder the terms: 2 + -27 + -4z + -6z = z + -29 Combine like terms: 2 + -27 = -25 -25 + -4z + -6z = z + -29 Combine like terms: -4z + -6z = -10z -25 + -10z = z + -29 Reorder the terms: -25 + -10z = -29 + z Solving -25 + -10z = -29 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -25 + -10z + -1z = -29 + z + -1z Combine like terms: -10z + -1z = -11z -25 + -11z = -29 + z + -1z Combine like terms: z + -1z = 0 -25 + -11z = -29 + 0 -25 + -11z = -29 Add '25' to each side of the equation. -25 + 25 + -11z = -29 + 25 Combine like terms: -25 + 25 = 0 0 + -11z = -29 + 25 -11z = -29 + 25 Combine like terms: -29 + 25 = -4 -11z = -4 Divide each side by '-11'. z = 0.3636363636 Simplifying z = 0.3636363636
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